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Railway Turnout Switch Lead Curve & Crossing Angle Calculator

Easily calculate and compute railway turnout switch lead curve & crossing angle calculator with accurate equations, live formulas, and expert guidance.

Cotangent of crossing angle (e.g. 9, 12, 16, 20).

Nominal gauge (1435 mm standard).

Allowable lateral uncompensated acceleration comfort limit.

Calculated Result
413.28 m

Turnout Lead Curve Radius

Turnout Lead Curve Radius

413.28 m

Lead Curve Radius M

413.28000000000003

Crossing Angle Deg

4.763641690726177

Max Diverging Speed Kmh

60.47809520809994

Frog Number N

12

413.28 — m

Calculation Breakdown

  1. Applied FormulaCalculates the turnout turnout lead curve radius, switch rail length, crossing frog angle (1:N), and maximum diverging branch operational speed.R \approx 2 G N^2, \quad \alpha = \arctan\left(\frac{1}{N}\right)

Turnout Curve & Crossing Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0103207310413Turnout Lead Curve Radius

What Is the Railway Turnout Switch Lead Curve & Crossing Angle Calculator?

This tool computes railway turnout switch lead curve & crossing angle calculator with high precision arithmetic.

How Does the Railway Turnout Switch Lead Curve & Crossing Angle Calculator Work?

Calculates the turnout turnout lead curve radius, switch rail length, crossing frog angle (1:N), and maximum diverging branch operational speed.

Railway Turnout Switch Lead Curve & Crossing Angle Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

R≈2GN2,α=arctan⁡(1N)R \approx 2 G N^2, \quad \alpha = \arctan\left(\frac{1}{N}\right)

Calculates the turnout turnout lead curve radius, switch rail length, crossing frog angle (1:N), and maximum diverging branch operational speed.

How to Use the Railway Turnout Switch Lead Curve & Crossing Angle Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Railway Turnout Switch Lead Curve & Crossing Angle Calculator Example

Input Values:

frogNumberN:12
trackGaugeMm:1435
maxDivergingCantDeficiencyMm:100
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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